SOLUTION: how do you simplify this?? 3+i ----- <--- represents a fraction bar 5-6i

Question 243667: how do you simplify this??
3+i
----- <--- represents a fraction bar
5-6i
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Multiply the fraction by .

Note: 5+6i is the complex conjugate of 5-6i. Multiplying a complex number with its conjugate will result in a real number.

Combine the fractions.

FOIL the numerator.

FOIL the denominator.

Multiply.

Replace with -1 (since ).

Multiply

Combine like terms.

Break up the fraction.

So .

So the expression is now in standard form where and
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